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Finding the Fourth Proportional to 432,208.54, 595,893.31 and 354,397.51

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Solution

The fourth proportional to 432,208.54, 595,893.31 and 354,397.51 is: 488,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,208.54 : 595,893.31 = 354,397.51 : x
  2. Step 2: Convert to fraction form
    432,208.54/595,893.31 = 354,397.51/x
  3. Step 3: Cross multiply
    432,208.54x = 595,893.31 × 354,397.51
  4. Step 4: Simplify right side
    432,208.54x = 211,183,105,289.66
  5. Step 5: Solve for x
    x = 211,183,105,289.66/432,208.54
  6. Step 6: Final answer
    x = 488,613.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.